From 3Blue1Brown.

Visualizing the most important tool for differential equations.
Previous chapter: https://youtu.be/-j8PzkZ70Lg
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An equally valuable form of support is to simply share the videos.
Home page: https://www.3blue1brown.com

Artwork by Kurt Bruns

Engine animation borrowed with permission from this (excellent) blog: https://ciechanow.ski/internal-combustion-engine/

Timestamps:
0:00 – Understanding the engine
1:16 – Key background ideas
5:41 – Definition and intuition
10:43 – Complex integration
20:43 – Analytic continuation
23:52 – The transform of exponentials
26:15 – A deep look at cos(t)
32:59 – What’s coming next

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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim

Music by Vincent Rubinetti.
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

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